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Finding the Fourth Proportional to 471,702.24, 650,939.76 and 256,844.88

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Solution

The fourth proportional to 471,702.24, 650,939.76 and 256,844.88 is: 354,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,702.24 : 650,939.76 = 256,844.88 : x
  2. Step 2: Convert to fraction form
    471,702.24/650,939.76 = 256,844.88/x
  3. Step 3: Cross multiply
    471,702.24x = 650,939.76 × 256,844.88
  4. Step 4: Simplify right side
    471,702.24x = 167,190,544,544.43
  5. Step 5: Solve for x
    x = 167,190,544,544.43/471,702.24
  6. Step 6: Final answer
    x = 354,440.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.